\begin{figure}[htb]
	\centering
	
	\begin{pdfpic}
	
	\begin{pspicture}
\definecolor{color550b}{rgb}{0.8,0.8,0.8}
\psline[linewidth=0.04,linestyle=dashed,dash=0.16cm 0.16cm,fillstyle=solid,fillcolor=color550b](3.985428,2.4588149)(4.785428,2.4988148)(5.425428,1.9188149)(6.245428,2.378815)(7.0254283,2.7188148)(7.925428,1.838815)(7.645428,0.93881494)(7.405428,-0.061185073)(7.145428,-0.8411851)(6.485428,-1.5611851)(5.665428,-2.0411851)(4.885428,-2.361185)(3.9054282,-1.501185)(3.285428,-0.8011851)(2.545428,-0.061185073)(2.745428,0.93881494)(2.985428,1.7588149)(3.985428,2.4388149)(3.985428,2.4388149)
\pspolygon[linewidth=0.04](3.7054281,0.07881493)(5.305428,0.6988149)(6.605428,-0.38118508)(6.345428,-2.8011851)(4.805428,-3.2611852)(2.9054282,-1.6211851)
\psline[linewidth=0.04](3.7054281,0.058814928)(4.985428,-1.3211851)(5.305428,0.67881495)
\psline[linewidth=0.04](6.605428,-0.40118507)(4.985428,-1.3411851)(6.325428,-2.7611852)
\psline[linewidth=0.04](4.805428,-3.2611852)(4.985428,-1.3611851)(2.9054282,-1.6211851)
\rput{-180.89883}(12.7928705,-4.8427167){\psarc[linewidth=0.04,arrowsize=0.05291667cm 2.0,arrowlength=1.4,arrowinset=0.4]{<-}(6.415428,-2.371185){0.93}{0.0}{77.11723}}
\usefont{T1}{ptm}{m}{n}
\rput(6.106883,-3.3961852){$\mathcal{D}(v)$}
\pspolygon[linewidth=0.04](2.8973727,-1.6159276)(1.2939183,-2.2269382)(0.0,-1.1396592)(0.27357766,1.2788435)(1.816135,1.7301934)(3.706901,0.079555795)
\psline[linewidth=0.04](2.897485,-1.595928)(1.6252501,-0.20876591)(1.2940305,-2.2069385)
\psline[linewidth=0.04](0.0,-1.1196595)(1.6253623,-0.18876621)(0.29335284,1.2387319)
\psline[linewidth=0.04](1.816135,1.7301934)(1.6254746,-0.16876653)(3.706901,0.079555795)
\pspolygon[linewidth=0.04](8.2161,0.24684712)(6.620929,-0.3854734)(5.3126383,0.6844691)(5.553968,3.1064022)(7.090375,3.5782647)(9.002966,1.9529661)
\psline[linewidth=0.04](8.235936,0.26746213)(6.9453316,1.63755)(6.6407647,-0.3648584)
\psline[linewidth=0.04](5.3124843,0.7044685)(6.925187,1.6569338)(5.574276,3.0665576)
\psline[linewidth=0.04](7.1103654,3.5788803)(6.945023,1.6775488)(9.022956,1.9535817)
\psline[linewidth=0.04](3.7054281,0.058814928)(3.9454281,1.8188149)(5.305428,0.7188149)(5.305428,0.67881495)
\psline[linewidth=0.04](3.965428,3.058815)(5.5254283,3.098815)(3.9254282,1.8188149)(3.985428,3.078815)(1.8254281,1.738815)(3.9254282,1.7988149)(3.9454281,1.7788149)
\psline[linewidth=0.04](9.025428,1.9388149)(8.985428,-1.021185)(8.225428,0.23881494)(7.645428,-1.2411851)(6.365428,-2.7811852)(8.225428,-2.141185)(9.005428,-1.041185)(7.645428,-1.261185)(6.625428,-0.40118507)(6.625428,-0.40118507)
\psline[linewidth=0.04cm](7.645428,-1.281185)(8.245428,-2.121185)
\psline[linewidth=0.04](1.285428,-2.2411852)(2.565428,-3.161185)(4.785428,-3.2611852)
\psline[linewidth=0.04cm](2.8854282,-1.641185)(2.585428,-3.141185)
\usefont{T1}{ptm}{m}{n}
\rput(6.0368834,0.7238149){$v$}
\usefont{T1}{ptm}{m}{n}
\rput(1.4768832,2.403815){$\hat{M}$}
	\end{pspicture}
	\end{pdfpic} 
	\caption{Dual piece of a vertex in the vertex hierarchy}
	\label{fig:dualPiece}

\end{figure}